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Finding the Fourth Proportional to 51,483.84, 77,211.84 and 18,199.52

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Solution

The fourth proportional to 51,483.84, 77,211.84 and 18,199.52 is: 27,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,483.84 : 77,211.84 = 18,199.52 : x
  2. Step 2: Convert to fraction form
    51,483.84/77,211.84 = 18,199.52/x
  3. Step 3: Cross multiply
    51,483.84x = 77,211.84 × 18,199.52
  4. Step 4: Simplify right side
    51,483.84x = 1,405,218,426.32
  5. Step 5: Solve for x
    x = 1,405,218,426.32/51,483.84
  6. Step 6: Final answer
    x = 27,294.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.